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ehidna [41]
2 years ago
9

A coordinate plane.

Mathematics
2 answers:
Svetach [21]2 years ago
7 0

Answer: D. (5, 4)

Step-by-step explanation:

An x-intercept of -1 means the point = (-1, 0)

So find the slope(m) using the formula: \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

(x_{1},y_{1})=(-4,-2)\\(x_{2},y_{2})=(-1,0)\\\\m = \frac{0-(-2)}{-1-(-4)}=\frac{0+2}{4-1}=\frac{2}{3}

Now find the y-intercept(b) by substituting a point into the function:

y = mx + b

y=\frac{2}{3} x+b\\\\0=\frac{2}{3} (-1)+b\\\\0=-\frac{2}{3}+b\\\\b=\frac{2}{3}

So now the function is determined as y=\frac{2}{3} x+\frac{2}{3}=\frac{2}{3}(x+1).

Bring each of the coordinates in to see if it fits in:

A. (-6, -5)  \frac{2}{3}(-6+1)=\frac{2}{3}(-5)=-3.33\neq -5

B. (3, 2) \frac{2}{3}(3+1)=\frac{2}{3}(4)=2.67\neq 2

C. (4, 5) \frac{2}{3}(4+1)=\frac{2}{3}(5)=3.33\neq 5

D. (5, 4) \frac{2}{3}(5+1)=\frac{2}{3}(6)=4

Fudgin [204]2 years ago
3 0

Answer:

D(5,4)

Step-by-step explanation:

Took Quiz

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Plz help asap i really need it for 30 points
Pani-rosa [81]

Answer:

13.04 cm^2

Step-by-step explanation:

Larger Circle diameter is 12.5 cm and the smaller is 3.5 cm

The Area of a circle is A = πr^2 = πd^2/4

Larger Circle divide the diameter by 2 = 6.25 cm

Smaller Circle dive the diameter by 2 = 1.75 cm

Using above formula  A =  122.71846303085 cm^2 &  

Finally we deduct the smaller Area from the larger Area

A = 9.6211275016187 cm^2 - 9.6211275016187 cm^2

122.71846303085 cm^2 - 9.6211275016187 cm^2 =

113.0973355292 cm^2 thus 13.04 is your answer since I used the

π = 3.1415926535898

A = area

π = pi = 3.1415926535898

6 0
3 years ago
How can you tell if an ordered pair is a solution of a system of linear equations by examining the graphs of the equations?
BlackZzzverrR [31]

Answer:

A.) Both lines pass through the point represented by the ordered pair

Step-by-step explanation:

4 0
2 years ago
A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct
KatRina [158]
<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

          Perimeter=2(L+\sqrt{100-L^2})

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

10=\sqrt{L^2+W^2}

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

W=\sqrt{100-L^2}

Now, we know that the Perimeter of a rectangle is given by:

Perimeter=2(L+W)

Here we have:

Perimeter=2(L+\sqrt{100-L^2})

7 0
3 years ago
on a recent hike through riverbend park antoinette traveled 2/3 mile in 1/3 hour . Which unit rate describes antoinettes speed i
My name is Ann [436]

Answer:

Her speed is of 2 miles per hour.

Step-by-step explanation:

Velocity:

The velocity is given by the following formula:

v = \frac{d}{t}

In which v is the velocity, d is the distance and t is the time.

2/3 mile in 1/3 hour .

This means that d = \frac{2}{3}, t = \frac{1}{3}

Which unit rate describes antoinettes speed in miles per hour?

This is v. So

v = \frac{d}{t} = \frac{\frac{2}{3}}{\frac{1}{3}} = \frac{2}{3}*\frac{3}{1} = 2

Her speed is of 2 miles per hour.

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2 years ago
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-Dominant- [34]
X=1, because they both have the same height (y), so they'll cross each other!
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